Spherical indentation of a freestanding circular membrane revisited: Analytical solutions and experiments

Jin, Congrui; Davoodabadi, Ali; Li, Jianlin; Wang, Yanli; Singler, Timothy

doi:10.1016/j.jmps.2017.01.005

Title: Spherical indentation of a freestanding circular membrane revisited: Analytical solutions and experiments

Journal Article · Wed Jan 11 00:00:00 EST 2017 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2017.01.005· OSTI ID:1345796

Jin, Congrui ^[1]; Davoodabadi, Ali ^[1]; Li, Jianlin ^[2]; Wang, Yanli ^[3]; Singler, Timothy ^[1]

State Univ. of New York at Binghamton, NY (United States). Dept. of Mechanical Engineering
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Energy and Transportation Science Division
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division

Because of the development of novel micro-fabrication techniques to produce ultra-thin materials and increasing interest in thin biological membranes, in recent years, the mechanical characterization of thin films has received a significant amount of attention. To provide a more accurate solution for the relationship among contact radius, load and deflection, the fundamental and widely applicable problem of spherical indentation of a freestanding circular membrane have been revisited. The work presented here significantly extends the previous contributions by providing an exact analytical solution to the governing equations of Föppl–Hecky membrane indented by a frictionless spherical indenter. In this study, experiments of spherical indentation has been performed, and the exact analytical solution presented in this article is compared against experimental data from existing literature as well as our own experimental results.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: AC05-00OR22725; DE-PI0000012

OSTI ID:: 1345796

Journal Information:: Journal of the Mechanics and Physics of Solids, Vol. 100, Issue C; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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Comparison of the mechanical strength of a monolayer of silver nanoparticles both in the freestanding state and on a soft substrate Wang, Pangpang; Ryuzaki, Sou; Gao, Lumei Journal of Applied Physics, Vol. 125, Issue 13 https://doi.org/10.1063/1.5063567	journal	April 2019
Axisymmetric indentation of an elastic thin plate by a rigid sphere revisited Li, Min; Ru, C. Q.; Gao, Cun-Fa ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 98, Issue 8 https://doi.org/10.1002/zamm.201700266	journal	May 2018
Scaling laws and snap-through events in indentation of perforated membranes Jia, Fei; Ben Amar, Martine Journal of the Mechanics and Physics of Solids, Vol. 135 https://doi.org/10.1016/j.jmps.2019.103797	journal	February 2020

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